Given a binary tree, print tree in level order. Consider tree given in below image
For above tree the level order should be printed as
9
15 8
4 3 11
Approach 1:
Try to solve this problem in iterative manner. If we go iteratively from root to each level we can easily print the level order. But the problem here will be you should store the next level nodes on every level. This we can achieve using a queue of nodes. So while iterating any level we will add next level nodes in the temporary queue and will pull back those for next iteration.
Function "PrintLevelOrderIterative" uses the method describe here.
void PrintLevelOrderIterative(Node * pRoot)
{ if (pRoot) { queue<Node*> nodes; nodes.push(pRoot); while (!nodes.empty()) { queue<Node*> temp; while (!nodes.empty()) { Node * node = nodes.front(); nodes.pop(); cout << node->data << " "; if (node->pLeft) temp.push(node->pLeft); if (node->pRight) temp.push(node->pRight); } swap(nodes, temp); cout << endl; } } } |
The above approach can be modified to use single queue as well by using NULL pointer as end of each level as done in below code.
void PrintLevelOrderWithSingleQueue(Node * pRoot)
{ if (pRoot) { queue<Node *> nodesQ; nodesQ.push(pRoot); nodesQ.push(NULL); while (!nodesQ.empty()) { Node * tmp = nodesQ.front(); nodesQ.pop(); if (tmp) { cout << tmp->data << " "; if (tmp->pLeft) nodesQ.push(tmp->pLeft); if (tmp->pRight) nodesQ.push(tmp->pRight); } else { cout << endl; if (!nodesQ.empty()) nodesQ.push(NULL); } } } } |
Approach 2:
The above approach will require the storage for storing the two level nodes, current level nodes as well as next level nodes. If we dont want that then we can use the recursive approach. Here first we will find out the height of the tree, so that we know at what level to stop. Then go recursive in in-order manner and print each level every time. This approach requires "n long(n)" time complexity where "n" denotes nodes in the given binary tree.
The above approach will require the storage for storing the two level nodes, current level nodes as well as next level nodes. If we dont want that then we can use the recursive approach. Here first we will find out the height of the tree, so that we know at what level to stop. Then go recursive in in-order manner and print each level every time. This approach requires "n long(n)" time complexity where "n" denotes nodes in the given binary tree.
void PrintLevel(Node * root, int level, int current) { if (root) { current++; if (current < level) { PrintLevel(root->pLeft, level, current); PrintLevel(root->pRight, level, current); } if (current == level) { cout << root->data << " "; } } } int max(int a, int b) { return (a > b ? a : b); } int HeightOfTree(Node * root) { if (root) { return (1 + max(HeightOfTree(root->pLeft), HeightOfTree(root->pRight))); } return 0; } void PrintLevelOrderRecursive(Node * root) { if (root) { int height = HeightOfTree(root); int counter = 1; while (height >= counter) { PrintLevel(root, counter, 0); cout << endl; counter++; } } } |
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